Aristizábal, Andrés
[Author];
Biernacki, Dariusz
[Author];
Lenglet, Sergueï
[Author];
Polesiuk, Piotr
[Author]
;
Andrés Aristizábal and Dariusz Biernacki and Sergueï Lenglet and Piotr Polesiuk
[Contributor]
Environmental Bisimulations for Delimited-Control Operators with Dynamic Prompt Generation
Footnote:
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Description:
We present sound and complete environmental bisimilarities for a variant of Dybvig et al.'s calculus of multi-prompted delimited-control operators with dynamic prompt generation. The reasoning principles that we obtain generalize and advance the existing techniques for establishing program equivalence in calculi with single-prompted delimited control. The basic theory that we develop is presented using Madiot et al.'s framework that allows for smooth integration and composition of up-to techniques facilitating bisimulation proofs. We also generalize the framework in order to express environmental bisimulations that support equivalence proofs of evaluation contexts representing continuations. This change leads to a novel and powerful up-to technique enhancing bisimulation proofs in the presence of control operators.